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Finding the Fourth Proportional to 981.70, 1,470.51 and 433.18

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Solution

The fourth proportional to 981.70, 1,470.51 and 433.18 is: 648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.70 : 1,470.51 = 433.18 : x
  2. Step 2: Convert to fraction form
    981.70/1,470.51 = 433.18/x
  3. Step 3: Cross multiply
    981.70x = 1,470.51 × 433.18
  4. Step 4: Simplify right side
    981.70x = 636,995.52
  5. Step 5: Solve for x
    x = 636,995.52/981.70
  6. Step 6: Final answer
    x = 648.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.